GATE ME
Thermodynamics
First Law of Thermodynamics
Previous Years Questions

## Marks 1

Water (density $$= 1000$$ $$kg/{m^3}$$) at ambient temperature flows through a horizontal pipe of uniform cross section at the rate of $$1$$ $$kg/s.... A gas contained in a cylinder is compressed, the work required for compression being$$5000kJ.$$During the process, heat interaction of$$200$$... A$$2kW,40$$liter water heater is switched on for$$20$$minutes. The heat capacity$${C_p}$$for water is$$4.2kJ/kgK.$$Assumin... A steam turbine receives steam steadily at$$10bar$$with an enthalpy of$$3000kJ/kg$$and discharges at$$1$$bar with an enthalpy of$$270...
A steel ball of mass $$1$$ $$kg$$ and specific heat $$0.4$$ $$kJ/kg$$ is at temperature of $${60^ \circ }C.$$ It is dropped into $$1$$ $$kg$$ water at...
The first law of thermodynamics takes the form $$W = - \Delta \,H$$ when applied to :

## Marks 2

A calorically perfect gas (specific heat at constant pressure $$1000$$$$J/kg.K$$) enters and leaves a gas turbine with the same velocity. The temperat...
One $$kg$$ of an ideal gas (gas constant, $$R = 400$$ $$J/kg.K;$$ specific heat at constant volume, $${c_v} = 1000\,J/kg.K$$ at $$1$$ bar, and $$300$$...
Steam at an initial enthalpy of $$100$$ $$kJ/kg$$ and inlet velocity of $$100$$ $$m/s,$$ enters an insulated horizontal nozzle. It leaves the nozzle a...
A piston-cylinder device initially contains $$0.4\,{m^3}$$ of air (to be treated as an ideal gas) at $$100$$ $$kPa$$ and $${80^ \circ }C.$$ The air is...
Work is done on an adiabatic system due to which its velocity changes from $$10$$ $$m/s$$ to $$20$$ $$m/s,$$ elevation increases by $$20$$ $$m$$ and t...
A well insulated rigid container of volume $$1{m^3}$$ contains $$1.0$$ $$kg$$ of an ideal gas $$\left[ {{C_p} =1000\,\,\,J/\left( {kg.K} \right)} \rig... Specific enthalpy and velocity of steam at inlet and exit of a steam turbine, running under steady state, are as given below: The rate of heat loss... Steam enters an adiabatic turbine operating at steady state with an enthalpy of$$3251.0kJ/kg$$and leaves as a saturated mixture at$$15kPa$$wi... Air enters an adiabatic nozzle at$$300kPa,500K$$with a velocity of$$10m/s.$$It leaves the nozzle at$$100kPa$$with a vel... Air enters an adiabatic nozzle at$$300kPa,500K$$with a velocity of$$10m/s.$$It leaves the nozzle at$$100kPa$$with a vel... The temperature and pressure of air in a large reservoir are$$400K$$and$$3$$bar respectively. A converging diverging nozzle of exit area$$0....
The temperature and pressure of air in a large reservoir are $$400$$ $$K$$ and $$3$$ bar respectively. A converging diverging nozzle of exit area $$0.... A balloon containing an ideal gas is initially kept in an evacuated and insulated room. The balloon ruptures and the gas fills up the entire room. Whi... A rigid, insulated tank is initially evacuated. The tank is connected with a supply line through which air ( assumed to be ideal gas with constant spe... What is the speed of sound in Neon gas at a temperature of$$500K$$(Gas constant of Neon is$$0.4210kJ/kg$$-$$K$$)? A small steam whistle (perfectly insulated and doing no shaft work) causes a drop of$$0.8kJ/kg$$in the enthalpy of steam from entry to exit. If... When an ideal gas with constant specific heats is throttled adiabatically, with negligible changes in kinetic and potential energies A rigid insulated cylinder has two compartments separated by a thin membrane. While one compartment contains one kmol nitrogen at a certain pressure a... ## Marks 5 A certain mass of a pure substance undergoes an irreversible process from state$$1$$to state$$2,$$the path of the process being a straight line on... Air enters a frictionless adiabatic converging nozzle at$$10$$bar,$$500K$$with negligible velocity. The nozzle dis-charges to a region at$$2...
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